TY - JOUR AU - Ragusa, Maria Alessandra AU - Razani, Abdolrahman AU - Safari, Farzaneh PY - 2023 TI - Existence of positive radial solutions for a problem involving the weighted Heisenberg p ( ⋅ )-Laplacian operator JO - AIMS Mathematics SP - 404 EP - 422 VL - 8 IS - 1 AB - A variational principle is applied to examine a Muckenhoupt weighted p ( ⋅ )-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition belongs to the first order Heisenberg-Sobolev spaces is proved. UR - https://doi.org/10.3934/math.2023019 DO - 10.3934/math.2023019